Question
Factor the expression
Factor
(n−1)(n+6)
Evaluate
n2+5n−6
Rewrite the expression
n2+(6−1)n−6
Calculate
n2+6n−n−6
Rewrite the expression
n×n+n×6−n−6
Factor out n from the expression
n(n+6)−n−6
Factor out −1 from the expression
n(n+6)−(n+6)
Solution
(n−1)(n+6)
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Find the roots
Find the roots of the algebra expression
n1=−6,n2=1
Evaluate
n2+5n−6
To find the roots of the expression,set the expression equal to 0
n2+5n−6=0
Factor the expression
More Steps
Evaluate
n2+5n−6
Rewrite the expression
n2+(6−1)n−6
Calculate
n2+6n−n−6
Rewrite the expression
n×n+n×6−n−6
Factor out n from the expression
n(n+6)−n−6
Factor out −1 from the expression
n(n+6)−(n+6)
Factor out n+6 from the expression
(n−1)(n+6)
(n−1)(n+6)=0
When the product of factors equals 0,at least one factor is 0
n−1=0n+6=0
Solve the equation for n
More Steps
Evaluate
n−1=0
Move the constant to the right-hand side and change its sign
n=0+1
Removing 0 doesn't change the value,so remove it from the expression
n=1
n=1n+6=0
Solve the equation for n
More Steps
Evaluate
n+6=0
Move the constant to the right-hand side and change its sign
n=0−6
Removing 0 doesn't change the value,so remove it from the expression
n=−6
n=1n=−6
Solution
n1=−6,n2=1
Show Solution